29610

Appears in sequences

• Number of tree-like polyhexes rooted at a hexagon and containing n hexagons.at n=8A002213
• Fibonacci sequence beginning 0, 30.at n=16A022364
• Inverse Euler transform of primes.at n=36A030010
• Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,19.at n=5A064246
• Coefficient triangle of polynomials (falling powers) related to convolutions of A001045(n+1), n>=0, (generalized (1,2)-Fibonacci). Companion triangle is A073400.at n=8A073399
• Coefficient triangle of polynomials (rising powers) related to convolutions of A001045(n+1), n >= 0, (generalized (1,2)-Fibonacci). Companion triangle is A073402.at n=7A073401
• a(n) = n^3 + 6*n^2 + 6*n + 1.at n=29A090197
• Triangle read by rows: T(n,k) (0<=k<=floor(n/2)) is the number of Delannoy paths of length n, having k ED's.at n=34A110221
• Record gaps between prime quadruplets.at n=14A113404
• a(0)=1, a(1)=1; for n>1, a(n) = the sum of the two largest earlier terms which are both coprime to n.at n=59A122456
• Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10.at n=36A135195
• G.f. satisfies: 2*A(x) = 5*x - x^2 - 3*Series_Reversion( A(x) ).at n=5A139088
• Result of using the primes as coefficients in an infinite polynomial series in x and then expressing this series as (1+x)(1+a(1)*x)(1+a(2)*x^2) ... .at n=36A147541
• Triangle read by rows: a(n,k) is the number of permutations of n elements with prefix transposition distance equal to k.at n=48A164645
• Numbers a = b + c where a, b, and c contain the same decimal digits.at n=39A203024
• Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 4.at n=33A241649
• Sequences n*(n+1)*(6*n+1)/2 and n*(n+1)*(7*n+1)/2 interleaved.at n=40A296636
• -1 + Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000040 (prime numbers).at n=36A305871
• Denominators of coefficients in expansion of e.g.f. x / (1 + 2*x - exp(x)).at n=46A347427
• a(n) = n! * Sum_{k=0..floor(n/2)} (n - 2*k)^k/2^k.at n=7A356632